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Diagnostic Engine

Draw Fairness & Mechanical Bias

Chi-Square (χ²) screening across true 1st Prize results only. These cards are best used to spot follow-up candidates across time, series, and digit positions, not as standalone proof of mechanical bias.

Method note: this screen enforces a strict Minimum N policy (N ≥ 100) and applies Benjamini-Hochberg FDR correction.

A. Time Segmentation

Does the distribution heavily skew during a specific era?

2023-Present

N=1,241χ²(9)=36.53p_adj=9.59e-5V=0.057 (negligible)
Significant deviation from uniform model (FDR 5%)

2017-2019

N=969χ²(9)=20.59p_adj=2.19e-2V=0.049 (negligible)
Significant deviation from uniform model (FDR 5%)

2020-2022

N=623χ²(9)=11.72p_adj=2.30e-1V=0.046 (negligible)
Not significant after correction

B. Per-Series Isolation

Is a specific physical lottery machine generating skewed results?

NIRMAL WEEKLY LOTTERY

N=358χ²(9)=27.31p_adj=9.95e-3V=0.092 (negligible)
Significant deviation from uniform model (FDR 5%)

STHREE SAKTHI

N=409χ²(9)=17.53p_adj=1.64e-1V=0.069 (negligible)
Not significant after correction

KARUNYA

N=398χ²(9)=15.62p_adj=2.01e-1V=0.066 (negligible)
Not significant after correction

KARUNYA PLUS

N=408χ²(9)=13.18p_adj=3.10e-1V=0.060 (negligible)
Not significant after correction

POURNAMI

N=149χ²(9)=11.87p_adj=3.21e-1V=0.094 (negligible)
Not significant after correction

FIFTY-FIFTY

N=137χ²(9)=11.54p_adj=3.21e-1V=0.097 (negligible)
Not significant after correction

AKSHAYA

N=352χ²(9)=10.73p_adj=3.37e-1V=0.058 (negligible)
Not significant after correction

WIN-WIN

N=351χ²(9)=1.68p_adj=9.96e-1V=0.023 (negligible)
Not significant after correction

BHAGYATHARA

N < 100
Insufficient data for reliable statistical testing (N = 58).

DHANALEKSHMI

N < 100
Insufficient data for reliable statistical testing (N = 57).

SAMRUDHI

N < 100
Insufficient data for reliable statistical testing (N = 59).

SUVARNA KERALAM

N < 100
Insufficient data for reliable statistical testing (N = 55).

C. Position Variance

Are all drum rotors behaving the same way, or is one specific rotor sticky?

Hundreds Digit

N=2,833χ²(9)=75.03p_adj=4.68e-12V=0.054 (negligible)
Significant deviation from uniform model (FDR 5%)

Last Digit (On Ones)

N=2,833χ²(9)=49.28p_adj=2.20e-7V=0.044 (negligible)
Significant deviation from uniform model (FDR 5%)

Tens Digit

N=2,833χ²(9)=18.74p_adj=2.75e-2V=0.027 (negligible)
Significant deviation from uniform model (FDR 5%)